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Finding the Fourth Proportional to 135,922, 187,572.36 and 76,306

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Solution

The fourth proportional to 135,922, 187,572.36 and 76,306 is: 105,302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,922 : 187,572.36 = 76,306 : x
  2. Step 2: Convert to fraction form
    135,922/187,572.36 = 76,306/x
  3. Step 3: Cross multiply
    135,922x = 187,572.36 × 76,306
  4. Step 4: Simplify right side
    135,922x = 14,312,896,502.16
  5. Step 5: Solve for x
    x = 14,312,896,502.16/135,922
  6. Step 6: Final answer
    x = 105,302.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.